21444622914240 has 1120 divisors, whose sum is σ = 82425861771264. Its totient is φ = 5272703631360.

The previous prime is 21444622914203. The next prime is 21444622914289. The reversal of 21444622914240 is 4241922644412.

21444622914240 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 4 + 622 + 9 + 14 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5638868179 + ... + 5638871981.

Almost surely, 2^{21444622914240} is an apocalyptic number.

21444622914240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21444622914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41212930885632).

21444622914240 is an abundant number, since it is smaller than the sum of its proper divisors (60981238857024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21444622914240 is a wasteful number, since it uses less digits than its factorization.

21444622914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 21444622914240 in words is "twenty-one trillion, four hundred forty-four billion, six hundred twenty-two million, nine hundred fourteen thousand, two hundred forty".